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Finding the Fourth Proportional to 693.60, 984.24 and 693.60

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Solution

The fourth proportional to 693.60, 984.24 and 693.60 is: 984.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.60 : 984.24 = 693.60 : x
  2. Step 2: Convert to fraction form
    693.60/984.24 = 693.60/x
  3. Step 3: Cross multiply
    693.60x = 984.24 × 693.60
  4. Step 4: Simplify right side
    693.60x = 682,668.86
  5. Step 5: Solve for x
    x = 682,668.86/693.60
  6. Step 6: Final answer
    x = 984.24

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.